Let's draw the parallelogram:

It's not a parallelogram. It's just a quadrilateral.
Did you maybe type the point X wrong, and it should 
be X(3,2) and not X(3,3)? But whatever, the principle 
is the same.  I'll just reflect and rotate
the quadrilateral.



First we reflect it over the y-axis, by changing
the signs of the only the x-component.  It will 
now become quadrilateral ABCD

w(-1,2) becomes A(1,2) 
X(3,3) becomes B(-3,3) 
Y(0,-4) becomes C(0,-4) 
Z(-4,-4) becomes D(4,-4) 




Now we rotate it 180° about the origin, by changing
the signs of both coordinates. It will now become
quadrilateral PQRS:

A(1,2) becomes P(-1,-2) 
B(-3,3) becomes Q(3,-3) 
C(0,-4) becomes R(0,4) 
D(4,-4) becomes S(-4,4)



Edwin